The population of Smalltown in the year 1890 was 6,250. Since then, it has increased at a rate of 3.75% each year. • What was th

Answer:

0.32

Step-by-step explanation:

P(B|A) = P(A∩B) / P(A)

0.25 = 0.08 / P(A)

P(A) = 0.32

Answer:

0.93 minute

Step-by-step explanation:

During the first week:

Kim ran = 1 mile

Duration for this distance = 1 minute

In the second week:

The distance covered by Kim = 1 mile

The time taken by Kim = 7% less compared to the first week

                         = 1 min - 0.07 min = 0.93 minute

We start with the following information:

p = probability = 0.12<span>
n = total number of students = 39 </span>

x = number of left-handers = 5<span>
u = mean = p * n = 4.68
σ = standard deviation = √(n*p*(1-p)) = √(39 * 0.12 * 0.88) = 2.03</span>

Finding the z score:

<span> z = (5 – 4.68) / 2.03
</span>

<span>

</span>Applying standard tables for z gives the p value as:

Consequently, there is a 56.36% probability.

Response:

To accumulate $7,500 in three years, the required one-time deposit is $4388.17

Step-by-step explanation:

Basic Financial Formulas

A commonly used formula for calculating present and future values is

Where FV represents the future value, PV denotes the present value, r signifies the interest rate, and n indicates the number of compounding periods. It’s essential to remember that r and n must correspond to the same compounding duration, e.g. r is compounded monthly while n is expressed in months.

The inquiry seeks to determine the PV necessary as a one-time deposit to achieve a future value of $7,500 in 3 years at an interest rate of 1.5% compounded monthly.

FV=7,500

r=1.5%=0.015

n=3*12=36 months

We have changed n to months since r is monthly compounded. The equation

must be arranged to isolate PV.

Response